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Finding the Fourth Proportional to 5,857.26, 8,077.76 and 3,869.86

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Solution

The fourth proportional to 5,857.26, 8,077.76 and 3,869.86 is: 5,336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.26 : 8,077.76 = 3,869.86 : x
  2. Step 2: Convert to fraction form
    5,857.26/8,077.76 = 3,869.86/x
  3. Step 3: Cross multiply
    5,857.26x = 8,077.76 × 3,869.86
  4. Step 4: Simplify right side
    5,857.26x = 31,259,800.31
  5. Step 5: Solve for x
    x = 31,259,800.31/5,857.26
  6. Step 6: Final answer
    x = 5,336.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.